The Chilean has been appointed to succeed Roberto Mancini at the Etihad Stadium finally on Friday.
“Everyone knows that when you arrive at a club like Manchester City you must win titles,” said Pellegrini.
“Manchester City have invested a lot of money to improve the squad every year and to try and win titles every year. They were not successful in some titles [last season] but I’m sure next year we can win maybe the Premier League and Champions League. We will try to win it all.”